The ratio of number of units manufactured of A, B and C is 5 : 6 : 7. The number of units manufactured of D is 200. The ratio of number of units sold of A, C and D is 6 : 8 : 5. The number of units sold of A is 60% of the total units manufactured of A and that of B is 50% of total units manufactured of B.
240 units of C are sold.
Number of units sold of B is what percentage more than number of units unsold of A?
This questions was previously asked in
SEBI Grade A (Ph 1 Paper 1 2022)
Explanation:
- The units manufactured ratio of A, B, and C is 5:6:7. Assume 5x, 6x, and 7x are manufactured of A, B, and C, respectively.
- 60% of A's manufactured units are sold, so 0.6 * 5x = 3x units of A are sold.
- Total units of A manufactured are 5x, so unsold units are 0.4 * 5x = 2x.
- 240 units of C are sold.
- For C, the ratio of units sold of A : C : D is 6:8:5. If C's sales are 240, A's sales are (6/8) * 240 = 180, which matches 3x units sold of A. Therefore, 5x = 300.
- Calculate B's manufactured units: 6x = 360, and 50% of them are sold, which means 180 units of B are sold.
- Units sold of B (180) is more than A's unsold units (2x = 120) by (180 - 120) = 60, which is (60/120) * 100 = 50% more.
- So, the correct answer is option 3: 50%.
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By: Parvesh Mehta